Worksheet
Curated OER

Linear Functions of Two Variables

For Students 11th - Higher Ed
In this linear function activity, students write linear functions, in intercept form, that satisfy given conditions. They find the local linearity for a function. This five-page activity contains examples, explanations, and six...
Worksheet
Curated OER

Graphing Inequalities in Two Variables

For Students 7th - 10th Standards
This study guide is a great resource to help you present the steps to graphing linear inequalities. Show your class two different ways to graph an inequality and work on a real-world example together. The document could also be easily...
Worksheet
Curated OER

Linear Inequalities in Two Variables

For Students 9th - 12th Standards
Use this worksheet as a warm up, a refresher exercise, or a practice after a more detailed lesson on graphing linear inequalities in two variables. Start with boundaries that are horizontal or vertical, then move into graphs with...
Worksheet
Curated OER

Inequalities in Two Variables

For Students 9th - 11th
In this inequality worksheet, students solve inequalities with two-variables. They solve systems of equations. Students graph inequality problems on a coordinate plane. This four-page worksheet contains 36 problems.
Worksheet
Curated OER

Two-Step Equations with Decimals

For Students 8th - 9th
In this two-step equation worksheet, students use two-steps to solve for the unknown. Problems involving using addition, subtraction addition, and multiplication. This worksheet contains 18 problems and does contain an answer key.
Lesson Plan
Illustrative Mathematics

Sore Throats, Variation 2

For Teachers 6th - 8th Standards
What does math have to do with a sore throat? When you mix water and salt you have a great review of how to represent proportional relationships by an equation or graph. Here the proportions of the mixtures may be different, but the...
Interactive
CK-12 Foundation

Graphs of Systems of Linear Inequalities in Two Variables: President Jefferson's Octagonal Home

For Students 9th - 12th
Mathematically complete a set of blueprints. Using eight linear inequalities, pupils create a blueprint of Thomas Jefferson's home. Individuals graph the linear inequalities and position the solution of the inequalities before...
Lesson Plan
Curated OER

Correlation of Variables by Graphing

For Teachers 7th - 10th
Middle and high schoolers use a spreadsheet to graph data. In this graphing lesson, learners determine how two parameters are correlated. They create a scatter plot graph using a computer spreadsheet.
Lesson Plan
PBS

Using Two Variables to Express Algebraic Relationships

For Teachers 4th - 7th Standards
Harry needs a new wardrobe. Mathematicians watch a Cyberchase episode in which Harry uses a $100 budget for a fashion update. This anticipatory video prepares your class for a lesson plan in the use of two variables to solve real-world...
Lesson Plan
EngageNY

Association Between Categorical Variables

For Teachers 8th Standards
Investigate associations between variables with two-way tables. Scholars continue their study of two-way tables and categorical variables in the 15th installment of a 21-part module. The lesson challenges them to calculate relative...
Worksheet
Curated OER

Chapter 2 Practice test

For Students 8th - 11th
Overall, this worksheet contains a good selection of problems that reviews different aspects of linear equations. Learners examine and graph linear equations, absolute value equations, and inequalities in two variables. The three page...
Assessment
2
2
Illustrative Mathematics

Cell Phone Plans

For Teachers 8th Standards
Turn your classroom into a local cell phone store. Then, have your cell phone agents use linear equations to visually display three cell plans and their advantages. It makes for a great group project. Discuss how to decide which plan is...
Lesson Plan
Illustrative Mathematics

Fixing the Furnace

For Teachers 7th - 9th Standards
This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...
Lesson Plan
Curated OER

Solving Equations Using Two Operations

For Teachers 5th - 7th
Need more detail in showing your class how to solve two-step equations and proportions? This lesson plan outlines the steps young mathematicians need to solve simple equations and check their results. 
Lesson Plan
Illustrative Mathematics

Chocolate Bar Sales

For Teachers 5th - 7th Standards
In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...
Worksheet
1
1
Salt Lake City School District

Two-Step Word Problems

For Students 7th - 9th Standards
Learners model a real-life scenario by writing a two-step algebra equation and solving it, as they complete this worksheet. Ten practice word problems on one piece of paper are nicely prepared just for your young algebra learners.
Worksheet
Curated OER

Solving Two-Step Equations

For Students 8th - 10th
In this two-step equations worksheet, students solve two-step algebraic equations.  Equations contain one variable, multiplication and division steps. This one-page worksheet contains 15 problems.  Answers are provided.
Lesson Plan
Curated OER

Systems of Equations in Two Variables

For Teachers 8th - 9th
In this algebra worksheet, students work with pairs of linear equations. Three problems ask students to determine if the given ordered pair is a solution of the system of equations. Students graph two systems to determine the solution.
Worksheet
Lorain County Community College

Solving Linear Equations in One Variable

For Students 7th - 10th Standards
Multiple-step problems don't have to equal tough problems. This worksheet provides a list of steps needed to go through multi-step equations that include combining like terms and distributing. With ten problems total, your learners will...
Assessment
1
1
Illustrative Mathematics

Solving Two Equations in Two Unknowns

For Students 8th - 10th Standards
More than just a one-problem resource, learners must explain their answer and incorporate a writing component to mathematical thinking. The resource also includes an explanation of the solution to help with the reasoning. 
Worksheet
Curated OER

Math Regents Exam: Solving for a Variable in Terms of Another Variable

For Students 9th - 12th
In this literal equations learning exercise, students solve 7 equations for a specified variable.  Students solve two variable equations for one variable in terms of the other.
Worksheet
Curated OER

Functions of Two Variables

For Students Higher Ed
In this function of two variables learning exercise, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...
Worksheet
Curated OER

Graphing Inequalities in Two Variables

For Students 9th
In this graphing inequalities worksheet, 9th graders solve and graph 6 different problems that include two variables. First, they define the given vocabulary terms found at the top of the sheet. Then, students graph each inequality...
Lesson Plan
Curated OER

Those Vexing Variables

For Teachers 6th - 8th
Students recognize dependent and independent variables in an experiment by practicing manipulation of variables; students practice designing experiments that contain the two types of variables.